a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)
Answers
Answer:
A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
B. [tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Step-by-step explanation:
a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.
Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:
[tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Related Questions
1/5+x+2/3=1 PLEASE HELP
Answers
Answer:
x=2/15
Step-by-step explanation:
1/5+x+2/3=1
3/15+x+10/15=15/15
13/15+x=15/15
x=2/15
Answer:
the answer to your question
AB = 3x + 5, AC = 9x - 13
Solve for x . I’ll give brainliest to the first person who answers:)
Answers
Answer:
x = 2
Step-by-step explanation:
I assumed that you wanted me to set them equal to each other, so that is what I did. I wasn't given any other number to go by so hopefully this is correct.
Si a un numero "X" le sumo 3 y al resultado lo multiplico por 2, me da 14 ¿cual es ese numero?
Answers
[tex]log_{9}log_{2}log_{2}256[/tex]
Answers
Answer:
I hope it will help you...
At a real estate agency, an agent sold a house for $397,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answers
Answer:
1. $97,265
2. $17,865
Step-by-step explanation:
Step one:
given data
cost of the house= $397,000.
we are told that the commission is 4.5% real estate agency
and also the agent commission is 20%
Step two:
1. How much did the agency make on the house?
this amount is 20% plus 4.5% together.
=20/100*397,000 +4.5/100*397,000
=0.2*397,000. +0.045*397,000.
=79400+17865
=97,265
The agent made a total of $97,265 on the house
2. How much did the agent earn in commission?
in commission, the rate is 4.5% which amounts to $17,865
The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals
Answers
Answer:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Step-by-step explanation:
Given that polynomial:
[tex]p(x)=x^3-7x-6[/tex]
Known factor: [tex](x+1)[/tex]
To find:
Equation of the polynomial as the product of linear factors.
Solution:
The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.
We can solve the quadratic in two linear factors and as a result we will have the answer.
First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.
[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]
Solving the quadratic:
[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]
So, the answer is:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Answer:
(x+1)(x+2)(x-3)
Step-by-step explanation:
What kind of solution does 3x+5=-2 have?
Answers
Answer:
[tex]x = - \frac{7}{3} [/tex]
step by step:
3x+5=-2
move constant to the right-hand side and change it's sign
3x=-2-5
Calculate the difference
3x=-7
Divided both sides of the equation by 3
5) William sold half of his comic book collection then purchased 10
more. He now has 24 comic books. How many books did William
begin with?
Answers
Answer:
14
Step-by-step explanation:
If he has a total of 24
and he just purchased 10
24-10= 14
Anyone know the answers???
Answers
Answer:
A. -80
B. 60
C. 98
D. -54
Step-by-step explanation:
ez give brainliest pls
what difficulty did you encounter in determining polynomials?
Answers
Answer:
I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.
The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.
the function f(x) is defined by the set of ordered pairs {(5,-2),(-6,-2),(3,-2),(4,-2)
Answers
Answer:
Assuming it is a constant function.
[tex]f(x)=0x-2[/tex]
Step-by-step explanation:
(5,-2)
(-6,-2)
(3,-2)
(4,-2)
From the points, we can see that for any value of [tex]x[/tex], the function will give -2. The graph of this function will be a horizontal line, parallel to the [tex]x[/tex]-line passing the y-intersect point -2.
So the function might be
[tex]f(x)=0x-2[/tex]
If it is a constant function.
I'm considering that there are no discontinuities.
Answer:
Domain: x>=-6
Range: y=-2
Step-by-step explanation:
I think this is the one but I’m not entirely sure
A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it.a.) Find the probability of committing a type I error if 60% of the voters favor the increased tax.b.) What is the probability of committing a type II error using this test procedure if actually 48% of the voters are in favor of the additional gasoline tax?
Answers
Answer:
A) α = 0.04136
B) β = 0.00256
Step-by-step explanation:
We are given;
Sample size; n = 400
Proportion; p = 60% = 0.6
Formula for mean is;
μ = np
μ = 400 × 0.6 = 240
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.6 = 0.4
σ = √(400 × 0.6 × 0.4)
σ = √96
σ = 9.8
A) our null hypothesis is at p = 0.6
Probability of making a type I error means we reject the null hypothesis when it is true.
This can be expressed in reference to the question as;
α = P(x < 220) + P(x > 260) all at p = 0.6
Now,
P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04
Also;
P(x > 260) = z = (260 - 240)/9.8 = 2.04
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.
Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068
Thus;
α = 0.02068 + 0.02068
α = 0.04136
B) Type II error occurs when we fail to reject the null hypothesis even though it's false.
In this case our alternative hypothesis is at p = 48% = 0.48
Thus;
μ = np
μ = 400 × 0.48 = 192
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.48 = 0.52
σ = √(400 × 0.48 × 0.52)
σ = √99.84
σ = 9.992
Type II error would be given by;
β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]
β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]
β = (2.8 < z > 6.81)
Rearranging this gives us;
β = P(z < 6.81) - P(z < 2.8)
From z-distribution tables, we have;
β = 1 - 0.99744
β = 0.00256
In this exercise, we have to calculate the gasoline rates, and the answer will be:
A)[tex]\alpha= 0.04136[/tex]
B)[tex]\beta= 0.00256[/tex]
We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;
[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq}[/tex]
Where:
[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]
[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]
A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:
[tex]\alpha= P(x<220)+P(x>260)[/tex]
Now,
[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:
[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]
Thus;
[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]
B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:
[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]
Type II error would be given by:
[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]
Rearranging this gives us:
[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]
See more about statistics at : brainly.com/question/7412334
Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?
A. -12/13
B. -5/13
C. 5/12
D. 12/13
Answers
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
Answer:
A
Step-by-step explanation:
Ed2021
(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?
PLZ HELP WILL GIVE BRANLIST
Answers
Answer:
25
Step-by-step explanation:
so lets write our ratios.
Students that wear glasses to the whole class:
2 : 5
Students that wear glasses to those that dont:
2 : 3
And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be
10 : 15
10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.
Decide whether Equation A or B would be used to solve the problem.
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you?
a. n + 1.65 = 3.50
b. n - 1.65 = 3.50
Answers
Answer:
The correct answer is B because you had less when the friend did not give you the money. Therefore before you had 3.50-1.65
Step-by-step explanation:
The domain for the equation y = 3x + 14 is listed below. Find the range for the given domain.
D:{-5,0,4}
R:
Answers
Answer:
R:{-1,14,26}
Step-by-step explanation:
The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:
Given: y=3x+14
When x=-5:
y=3(-5)+14
y=-15+14
y=-1 (this is the first point of the range)
When x=0:
y=3(0)+14
y=0+14
y=14 (this is the second point of the range)
When x=4:
y=3(4)+14
y=12+14
y=26 (this is the last point of the range)
Therefore, our range is R:{-1,14,26}
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
We have,
To find the range for the given domain of {-5, 0, 4} in the equation
y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.
When x = -5:
y = 3(-5) + 14
y = -15 + 14
y = -1
When x = 0:
y = 3(0) + 14
y = 0 + 14
y = 14
When x = 4:
y = 3(4) + 14
y = 12 + 14
y = 26
Therefore,
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ4
Superman needs to save Lois from the clutches of Lex Luthor. After flying for 7 seconds, he is 1708 meters
from her. Then at 11 seconds he is 1484 meters from her.
What is Superman's average rate?
meters per second
How far does Superman fly every 13 seconds?
meters
How close to Lois is Superman after 24 seconds?
meters
Answers
Step-by-step explanation:
1) rate = ( 1484 - 1708) ÷ ( 11 - 7) = - 56 m/ s
2) rate × 13 = - 56 × 13 = - 728 m per 13 s
3) rate = - 56
t = 24 s
d = - 56 × 24 = 1344 m
whole distance = 2100
7 × 56 = 392
and he flay till 1708 then whole distance = 392 + 1708
so the remaining distance between him and her
2100 - 1344 = 756 m
⎧ y=4x(x−2) x+y=2 One of the solutions to this system is (2,0)(2,0)left parenthesis, 2, comma, 0, right parenthesis. Find the other solution. Your answer must be exact. ((left parenthesis ,,comma ))
Answers
(-1)(-11) please solve!!
Answers
Answer:
A positive 11
Step-by-step explanation:
11 is your answer
PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!
Answers
Answer:
12
Step-by-step explanation:
X x Y =20 So 12 Then 12 - 12 + 12 = 12
HELP URGENT‼️‼️
Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?
Answers
Answer:
The answer is 3 cups of orange juice.
Step-by-step explanation:
So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.
Answer:3
Step-by-step explanation:
Convert 2x + 37y = 18 to point-slope form.
Answers
Answer:
x=−37/2 y+9
Step-by-step explanation:
2x+37y=18
2x+37y+−37y=18+−37y
2x=−37y+18
2x2=−37y+18/2
x=−37/2 y+9
A gas station had two pumps. Pump A dispensed 241,752 gallons. Pump B dispensed 113,916 more gallons than Pump A. About how many gallons did both pumps dispense?
Answers
Answer:
Total gallons= 597,420
Step-by-step explanation:
Giving the following information:
Pump A dispensed 241,752 gallons.
Pump B dispensed 113,916 more gallons than Pump A.
First, we will calculate the number of gallons dispensed by Pump B:
Pump B= Pumb A + 113,916
Pump B= 241,752 + 113,916
Pump B= 355,668 gallons
Now, in total:
Total gallons= 241,752 + 355,668
Total gallons= 597,420
Sal needs 3 quarts of blue paint and 2 quarts of white paint to paint his room. How many quarts of blue paint will he need to paint his parent's room, if he needs 6 quarts of white paint?
Answers
Answer:
9 quarts of blue paint
Step-by-step explanation:
the ration is 3:2
2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answers
Answer:
I would say the last one
Step-by-step explanation:
The third works the same way but 46/17 is hard to calculate without a calculator
Explanation: You can solve the problem using the elimination method, and that is what the question asks for!
MARK ME AS BRAINLIEST ANSWER
what is 2/5 of 110??
Answers
Answer:
44
Step-by-step explanation:
Remember that "of" in math means the same as multiplication.
2/5 * 110 = 44
Answer:
44
Step-by-step explanation:
2/5×110
of in mathmatics means multiplication
Therefore, the answer is 44
Does this look good I made it this morning
Answers
Answer:
looks delicious
Step-by-step explanation:
Answer:
Man looks so good!
Step-by-step explanation:
Send me some in the mail. lol ☺☻♥
If f(x) = 2x - 5, then f(4) is _____.
Answers
8-5= 3
Answer is 3
Benny went to his local zoo that featured 6 lion exhibits. If these lion exhibits make up 25% of the zoo's exhibits, then how many exhibits does the zoo have in total?
Answers
Answer:
24
Step-by-step explanation:
if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.
1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN
Answers
The correct answer is C plane HJG